LCM of 290, 928, 848, 767, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 928, 848, 767, 712 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 290, 928, 848, 767, 712. So, keep reading to learn more.
Given numbers are 290,928,848,767,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,928,848,767,712 is 16787236960.
Find LCM of 290,928,848,767,712 with Prime Factorization
| 2 | 290, 928, 848, 767, 712 |
| 2 | 145, 464, 424, 767, 356 |
| 2 | 145, 232, 212, 767, 178 |
| 2 | 145, 116, 106, 767, 89 |
| 29 | 145, 58, 53, 767, 89 |
| 5, 2, 53, 767, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 5 x 2 x 53 x 767 x 89 = 16787236960
Therefore, the lowest common multiple of 290,928,848,767,712 is 16787236960.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
290 x 928 x 848 x 767 x 712 = 124628447191040
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
290 : 1, 2, 5, 10, 29, 58, 145, 290
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
767 : 1, 13, 59, 767
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,928,848,767,712, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
928:2x 2x 2x 2x 2x 29
848:2x 2x 2x 2x 53
767:13x 59
712:2x 2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 29 = 7424
Therefore, the value for common factors is 7424.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 124628447191040/(1x7424)
LCM = 124628447191040/7424
LCM = 16787236960
Thus, we can understand that the LCM of 290,928,848,767,712 is 16787236960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 290, 928, 848, 767, 712
1. What is the LCM of 290, 928, 848, 767, 712?
Answer: LCM of 290, 928, 848, 767, 712 is 16787236960.
2. How to calculate the LCM of 290, 928, 848, 767, 712?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 290, 928, 848, 767, 712.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.